In some questions that involve negative numbers, you'll see that two operators, or mathematical signs, might be written together.
There are some rules to follow to make sure you always use the right operation:
Evaluate: $4-\left(-5\right)$4−(−5)
Think: Two negative signs become a positive.
Do:
$4-\left(-5\right)$4−(−5) | $=$= | $4+5$4+5 |
$=$= | $9$9 |
Evaluate: $-9+\left(-6\right)$−9+(−6)
Think: A positive and a negative sign together become a negative.
Do:
$-9+\left(-6\right)$−9+(−6) | $=$= | $-9-6$−9−6 |
$=$= | $-15$−15 |
Evaluate: $4+\left(-10\right)$4+(−10)
Think: A positive and a negative sign together become a negative.
Do:
$4+\left(-10\right)$4+(−10) | $=$= | $4-10$4−10 |
$=$= | $-6$−6 |
The two negative signs have to be right next to each other.
$-4-8$−4−8 means "$-4$−4 minus $8$8." This does not become a positive.
$-4-\left(-8\right)$−4−(−8) means "$-4$−4 minus $-8$−8" This becomes "$-4$−4 plus $8$8." In this case, the operators changed.
The same rules apply, even when there are more than $2$2 numbers.
Evaluate: $18+\left(-7\right)-\left(-12\right)$18+(−7)−(−12)
Think: A positive and a negative sign together become a negative and two negative signs together become a positive.
Do:
$18+\left(-7\right)-\left(-12\right)$18+(−7)−(−12) | $=$= | $18-7+12$18−7+12 |
$=$= | $23$23 |
Evaluate: $-7-\left(-2\right)-\left(-6\right)$−7−(−2)−(−6)
Evaluate: $9+\left(-8\right)$9+(−8)
Evaluate: $-14-\left(-16\right)$−14−(−16)
Understand addition and subtraction of fractions, decimals, and integers